No, you can't. The game is designed for improving poker skills. You can play only for fun money (points).
You can play Texas Holdem, Omaha, Omaha for High Low, Seven cards stud, Seven cards stud for High Low. Don't forget about the multitable feature to play several games simultaneously.
Yes, you can. Feel free to create your own password-protected tables. Only your friends who know the password can access the table. Note: if you do not use the table for several hours, it is automatically removed from the system.